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Fractional Problems with Right-Handed Riemann-Liouville Fractional Derivatives

Abstract

In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T ]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems are also discussed. A few examples illustrate the results.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
TASK Quarterly no. 20, pages 63 - 83,
ISSN: 1428-6394
Language:
English
Publication year:
2016
Bibliographic description:
Jankowski T.: Fractional Problems with Right-Handed Riemann-Liouville Fractional Derivatives// TASK Quarterly. -Vol. 20., iss. 1 (2016), s.63-83
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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